All real numbers x, cos²(3x) sin²(3x) = sin²(3x)(5 - 4cos²(3x)).
Using the identity cos(2θ) = 1 - 2sin²(θ), we can simplify the expression as follows:
cos²(3x) sin²(3x) = (1 - sin²(6x))(sin²(3x))
= sin²(3x) - sin²(6x)sin²(3x)
Using the identity sin(2θ) = 2sin(θ)cos(θ), we can express sin²(6x) as 4sin²(3x)cos²(3x):
sin²(6x) = (2sin(3x)cos(3x))²
= 4sin²(3x)cos²(3x)
Substituting this expression into our original equation, we get:
cos²(3x) sin²(3x) = sin²(3x) - 4sin²(3x)cos²(3x)sin²(3x)
= sin²(3x)(1 - 4cos²(3x))
Using the identity cos(2θ) = 1 - 2sin²(θ) again, we can express 4cos²(3x) as 2(2cos²(3x) - 1):
cos²(3x) sin²(3x) = sin²(3x)(1 - 2(2cos²(3x) - 1))
= sin²(3x)(5 - 4cos²(3x))
Therefore, for all real numbers x, cos²(3x) sin²(3x) = sin²(3x)(5 - 4cos²(3x))
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in a standard deck of cards, what is the probability that you would draw an ace
Answer:
innate as an agent X or something else
Step-by-step explanation:
Answer:
8%
Step-by-step explanation:
Suppose you have a deck of 52 cards, 4 of which are aces. The chances of drawing an ace from this deck are 4/52≈8%.
Deandria spent $22 on 11 song downloads. How much did each song cost?
Answer:
2 dollars on each
Step-by-step explanation:
2 times 11 equals 22
Answer:
Each song costed $2.00
Step-by-step explanation:
If all song downloads cost the same, then each song download costs...
22 / 11 = 2
There the cost per 1 download is $2.00
Suppose that a desk and a chair together weigh at most 55 pounds. The weight of the chair is 17 pounds. Which inequality correctly describes these conditions for the weigh of the desk, d?
Answer:
The answer will be C
Step-by-step explanation:
B. Find the Least Common Multiple (LCM) of the following sets of numbers.
15. 12 and 5
11. 8 and 3
12. 9 and 15
13.
14.
6 and 4
10 and 12
Answer:
11. LCM of 12 and 5 = 60
12.LCM of 8 and 3 = 24
13.LCM of 9 and 15 = 90
14.LCM of 6 and 4 = 12
15.LCM of 10 and 12 = 60
11,900 divided by 34
Which of the following ordered pairs is not in the solution set of y < 2x − 5
Answer:
(4,3)
Step-by-step explanation:
Solve the equation:
3<2(4)-5
3<8-5
❌3<3 ❌
3 is not less than three, hence this is the phony
i hope this helps!
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 38 minutes of calls is $ 25.06, and the remaining credit after 69 minutes of calls is $21.03. What is the remaining credit after 80 minutes of calls?
Answer: $19.6
Step-by-step explanation:
Linear function: f(x)=mx+c
, where m= rate of change in f(x) with respect to x.
c = Initial value.
Let c = Initial value of card , m= Charge per minute
x= Number of minutes calling time.
Then, 25.06= 38m+c (i)
21.03=69m+c (ii)
Eliminate (ii) from (i)
[tex]4.03=-31m\\\\\Rightarrow\ m=\dfrac{4.03}{-31}\\\\\Rightarrow\ m=-0.13[/tex]
Put m in (i) , we get
[tex]25.06= 38(-0.13)+c\\\\\Rightarrow\ 25.06=-4.94+c\\\\\Rightarrow\ c=25.06+4.94\\\\\Rightarrow\ c=30[/tex]
i.e. f(x)=-0.13x+30
if x=80 then
f(80)= -0.13(80)+30
=-10.4+30
=19.6
Hence, the remaining credit after 80 minutes of calls = $19.6
How many degrees of rotational symmetry does the flower have
Answer:
It has 5-fold rotational symmetry (72 degrees). The Clematis shown has 8-fold rotational symmetry (45 degrees). It has 8 flower petals arranged around the center of the flower.
Step-by-step explanation:
86, 82, 78, 74 , what is the 40th term
Answer:
Step-by-step explanation:
its subtracting 4 each time
What is the radius of a circle with the circumference 81.64
Answer:r≈12.99
Step-by-step explanation:
We can use the formula of the circumference of the circle. Which is given by:
Circumference = 2 \pi r
where "r" represents radius of the circle and , pi = 3.14
Plug the given values
81.64 = 2* 3.14* r
81.64 = 6.28 r
Solve this equation:
-5(x - 2) - 3x = -80
Answer:
x=45/4
Decimal Form:
x=11.25
Mixed Number Form:
x=11 1/4
Step-by-step explanation: PLEASE MARK ME BRANLIST AND IF U CAN ANSWER MY QUESTION FROM MY PROFIL WOULD BE NICE.
HAVE A GREAT DAY! ❤️
The local grocery store sets a bag of dog food for $22. The store pays $13 for the dog food. Which oquation can be used to find the markup on the dog food? Options: A. X+9=13 B. X+13=22 c. X-9=22 d. X-22=13
Answer: The answer is b
Step-by-step explanation:
Which pairs of expressions below are equivalent? A9m+4m13m2 B2(3m−4n)6m−4n C7(2m−3n)14m−21n D5m+5n+5m+5n5(m+n)
Answer:
7(2m−3n)14m−21n
Step-by-step explanation:
The following pairs are equivalent
7(2m - 3n)
14m - 21n
If you solve 7(2m - 3n)
So
7(2m) - 7(3n)
14m - 21n
So according to the given options, the option c is correct as this pairs is to be considered as equivalent
A loaf of bread costs 3.00 dollars today. The same size loaf cost 20 cents in 1955. what percentage of todays price did someone in 1955 pay for bread?
Answer:
About 6.7%
Step-by-step explanation:
A sno-cone machine priced at $139 is on sale for 20% off. The sales tax rate is 6.75%. What is the price of the sno-cone machine after the discount and sales tax?
A.$111.20
B.$118.71
C.$29.68
Answer:
About $118.70
Step-by-step explanation:
139 x .2 = 27.8
139 - 27.8 = 111.2
111.2 x .0675 = 7.5
111.2 + 7.5 = 118.7
118.7 = $118.70
help!!! pleaseeee i will answer ur questions
1. ASA
2. HL
3. Not congruent
Answer:
1.) ASA2.) HL3.) NOT CONGURENTIn ΔXYZ, x = 24 inches, y = 43 inches and z=47 inches. Find the measure of ∠Y to the nearest 10th of a degree.
Answer:
29.2
Step-by-step explanation:
arctan=24/43
Answer:
The correct answer is 65.5
Step-by-step explanation:
Just took a test on DeltaMath.
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe
PLZ HELP ITS DUEEE RNNNNN!!!!
Answer:
left: all three attributescenter: not a rectangleright: not a rectangleStep-by-step explanation:
Some relevant characteristics of different quadrilaterals are ...
trapezoid: one pair of parallel sidesparallelogram: opposite angles are congruent, diagonals bisect each otherrectangle: a parallelogram; and all angles are congruent, diagonals are the same length__
a.There are two angles marked as right angles, and the remaining two angles are marked as congruent. The sum of angles in a quadrilateral is 360°, and each right angle is 90°. The only way the remaining angles can be congruent is for them to be (360° -180°)/2 = 90° each. That is, all of the angles in this figure must be congruent. It is ...
quadrilateralparallelogramrectangle__
b.Opposite angles are marked congruent. There is nothing to indicate any angle is a right angle. The figure is ...
quadrilateralparallelogram__
c.The diagonals are marked as bisecting each other. There is nothing to indicate the diagonals are the same length, or that any angle is a right angle. The figure is ...
quadrilateralparallelogram1.N% of 40 is 10. Solve for N. Just put the number.
2.Mia finished 60% of her homework in 45 minutes. how many minutes will it take her to complete all of her homework? Remember her total homework is 100%
Step-by-step explanation:
N% of 40=10N/100×40=10
N=10×100/40=25
2.
60%of homework=45min
1%of homework=45/60=3/4min
100%of homework =3/4 ×100=75 min
Whoever receives this get's the brainliest crown all you have to say is 1st
Answer:
1st
Step-by-step explanation:
A farmer has a house that sits at the edge of a field, with all sides meeting at right
angles.
The field has the following measurements.
40 m
100 m
The farmer wants to know how much fencing he will need to surround the field.
Calculate the total length of fencing.
Step-by-step explanation:
total length = l×b therefore 40m×100m=400m
pls help , will mark branliest
A
C
B
ZABC is a right angle which is bisected by
BD.
mZDBC = [?]°
The Measure of <DBC is 45 degree.
What is Line Bisector?When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector. Segment bisectors and angle bisectors are the sorts of bisectors that are most frequently taken into consideration.
Given:
<ABC = 90 degree
As, BD is bisector for < ABC.
Then, the bisector divides the angle <ABC in two equal parts.
So, <ABC = 2< ABD = 2<BDC
<DBC = 1/2 <ABC
<DBC= 45 degree
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Suppose that y varies directly with x and inversely with z. If y = 63 when x =
27 and z = 3, find the constant of proportionality.
Answer:
constant of proportionality = 7
Step-by-step explanation:
Let k = constant of proportionality
If y varies directly with x and inversely with z, then [tex]\frac{yz}{x} = k[/tex]
Substitute the values given into the equation and you get [tex]\frac{(63)(3)}{27} = 7 = k[/tex]
Here is a trapezium, work out its area
Rewrite as a simplified fraction.
0.6 i need it quick plz and thank you
Answer:
3/5
Step-by-step explanation:
0.6 = 6/10 = 3/5
Help me simplify this dividing Radicals!!!
Also I didn’t mean to click the last one
Answer:
ok muchas gracias por tus puntos
Answer:THE SECOUND ONE
Step-by-step explanation:
PLZ IT RIGHTS
the sum of two consecutive numbers divided by their positive difference difference is equal to nine find the larger number
Answer:
the number is 5
Step-by-step explanation:
the difference between any two consecutive numbers is just 1.
so, x + x+1 = 9
x = 4
the next number is 5
pls mark brainliest
I don't remember how to do this
Answer:
b i think?
Step-by-step explanation:
ANSWER FOR BRAINIEST